A slight problem with this might be that this is an *implicit* validation. Meaning that you don't get a piece of paper from the CAA that tells you that your FAA license with suchandsuch number is validated for private flight on G-ABCD or whatever.
Without such a piece of paper, if you do get ramp-checked in, say, Italy, you'll confuse the hell out of the officials. It might be a good idea to print this part of the ANO and take it with you on foreign trips.